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3.2
Step-by-step explanation:
The Image attached below.
The given fraction is .
Step 1: Write the numerator inside.and denominator outside.
Step 2: If we multiply a number 5 by 3 we get 15. Write 3 in the quotient place.
Step 3: Now subtract 15 from 16, we get 1
Step 4: Place a decimal point after 3 and give one zero after 1, we get 10.
Step 5: Now multiply 5 by 2, we get 10.
Step 6: Subtract 10 from 10, the remainder is 0.
Step 7: The decimal is 3.2.
Since, the variance calculated on 34 scores is equal to 14.94.
We have to determine the standard deviation.
Relationship between Variance and standard deviation is:
Standard deviation =
Substituting the value of Variance, to evaluate the standard deviation.
We get,
Standard deviation =
= 3.865
= 3.87
Therefore, the standard deviation is 3.87